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Finding the Third Proportional to 307,501,342 and 495,178,432

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Solution

The third proportional to 307,501,342 and 495,178,432 is: 797,400,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,501,342 : 495,178,432 = 495,178,432 : x
  2. Step 2: Convert to fraction form
    307,501,342/495,178,432 = 495,178,432/x
  3. Step 3: Cross multiply
    307,501,342x = 495,178,432 × 495,178,432
  4. Step 4: Simplify right side
    307,501,342x = 245,201,679,517,978,624
  5. Step 5: Solve for x
    x = 245,201,679,517,978,624/307,501,342
  6. Step 6: Final answer
    x = 797,400,355.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.